000			03123nam a22005295i 4500
001			978-3-642-01777-3
003			DE-He213
005			20140220084523.0
007			cr nn 008mamaa
008			110719s2010 gw | s |||| 0|eng d
020			_a9783642017773 _9978-3-642-01777-3
024	7		_a10.1007/978-3-642-01777-3 _2doi
050		4	_aQA71-90
072		7	_aPBKS _2bicssc
072		7	_aMAT006000 _2bisacsh
082	0	4	_a518 _223
082	0	4	_a518 _223
100	1		_aFeng, Kang. _eauthor.
245	1	0	_aSymplectic Geometric Algorithms for Hamiltonian Systems _h[electronic resource] / _cby Kang Feng, Mengzhao Qin.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2010.
300			_aXXIII, 676 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreliminaries of Differentiable Manifolds -- Symplectic Algebra and Geometry Preliminaries -- Hamiltonian Mechanics and Symplectic Geometry -- Symplectic Difference Schemes for Hamiltonian Systems -- The Generating Function Method -- The Calculus of Generating Functions and Formal Energy -- Symplectic Runge-Kutta Methods -- Composition Scheme -- Formal Power Series and B-Series -- Volume-Preserving Methods for Source-Free Systems -- Contact Algorithms for Contact Dynamical Systems -- Poisson Bracket and Lie-Poisson Schemes -- KAM Theorem of Symplectic Algorithms -- Lee-Variational Integrator -- Structure Preserving Schemes for Birkhoff Systems -- Multisymplectic and Variational Integrators.
520			_a"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.
650		0	_aMathematics.
650		0	_aComputer science _xMathematics.
650		0	_aGeometry.
650		0	_aAlgebraic topology.
650		0	_aQuantum theory.
650		0	_aHydraulic engineering.
650	1	4	_aMathematics.
650	2	4	_aComputational Mathematics and Numerical Analysis.
650	2	4	_aGeometry.
650	2	4	_aAlgebraic Topology.
650	2	4	_aQuantum Physics.
650	2	4	_aEngineering Fluid Dynamics.
700	1		_aQin, Mengzhao. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642017766
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-01777-3
912			_aZDB-2-SMA
999			_c111371 _d111371